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Finding the Fourth Proportional to 384,462.72, 576,084.96 and 278,786.88

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Solution

The fourth proportional to 384,462.72, 576,084.96 and 278,786.88 is: 417,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,462.72 : 576,084.96 = 278,786.88 : x
  2. Step 2: Convert to fraction form
    384,462.72/576,084.96 = 278,786.88/x
  3. Step 3: Cross multiply
    384,462.72x = 576,084.96 × 278,786.88
  4. Step 4: Simplify right side
    384,462.72x = 160,604,928,613.33
  5. Step 5: Solve for x
    x = 160,604,928,613.33/384,462.72
  6. Step 6: Final answer
    x = 417,738.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.